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What is the Least Common Multiple of 9670 and 9685?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9670 and 9685 is 18730790.

LCM(9670,9685) = 18730790

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Least Common Multiple of 9670 and 9685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9670 and 9685, than apply into the LCM equation.

GCF(9670,9685) = 5
LCM(9670,9685) = ( 9670 × 9685) / 5
LCM(9670,9685) = 93653950 / 5
LCM(9670,9685) = 18730790

Least Common Multiple (LCM) of 9670 and 9685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9685. First we will calculate the prime factors of 9670 and 9685.

Prime Factorization of 9670

Prime factors of 9670 are 2, 5, 967. Prime factorization of 9670 in exponential form is:

9670 = 21 × 51 × 9671

Prime Factorization of 9685

Prime factors of 9685 are 5, 13, 149. Prime factorization of 9685 in exponential form is:

9685 = 51 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9685.

LCM(9670,9685) = 21 × 51 × 9671 × 131 × 1491
LCM(9670,9685) = 18730790